The article considers the problem of correcting single error bursts, taking into account the
influence of the structure of the linear block code parity-check matrix on the performance of …

The most important method of ensuring data integrity is correcting errors that occur during
information storage, processing or transmission. The error-correcting coding methods are …

Introduction: In modern systems for communication, data storage and processing the error-
correction capability of codes are estimated for memoryless channels. In real channels the …

Introduction: In modern systems for communication, data storage and processing the error-
correction capability of codes are estimated for memoryless channels. In real channels the …

Modern communication standards use error-correcting coding, especially LDPC codes.
Various algorithms are used to decode them, including decoding by information sets. The …

The approaches to decoding block-permutation low-density parity-check codes in channels
with memory are considered. The modification of windowed bit-flipping algorithm for bursty …

It is shown that a cascade decoding algorithm that realizes its code distance makes it
possible to simultaneously correct both error bursts and independent errors that occur in …

This article discusses the question of assessing the probability of finding information sets in
block-permutation and block-circulant matrices. Traditionally, interference-resistant coding is …

Error correcting codes are required to ensure reliable communication of digitally encoded
information. One of the areas of practical importance in which a parallel growth of the subject …

In this paper, it is shown that under very mild assumptions, practically any binary linear block
code of length N and dimension K is able to correct any burst of length up to NK with …